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5\int x^{4}\mathrm{d}x=x^{5}+5c
Multiply both sides of the equation by 5.
x^{5}+5c=5\int x^{4}\mathrm{d}x
Swap sides so that all variable terms are on the left hand side.
5c=5\int x^{4}\mathrm{d}x-x^{5}
Subtract x^{5} from both sides.
5c=С
The equation is in standard form.
\frac{5c}{5}=\frac{С}{5}
Divide both sides by 5.
c=\frac{С}{5}
Dividing by 5 undoes the multiplication by 5.